广义Minkowski不等式的进一步改进  

Revision of the Generalized Minkowski Inequality

作　　者：岳嵘[1] 

机构地区：[1]山东科技大学公共课部,山东泰安271019

出　　处：《数学的实践与认识》2008年第3期135-141,共7页Mathematics in Practice and Theory

基　　金：山东省教育厅项目(JO6P14)

摘　　要：针对"亚正定阵理论(Ⅱ)"一文的广义Minkowski不等式不成立问题,在已有的修正结果基础上,给出一种完整的修正结果;并更正了"亚正定阵的几个开问题及一些不等式"一文中有关的错误结论;用反例说明"广义正定矩阵的进一步研究"一文中的有关结论是错误的,给出完整的修正结果.In view of the untenable questions about the generalized Minkowski inequality in literature named ＂The Inferior Positively Definite Matrix Theory（Ⅱ）＂, this article gives one kind of complete revision result in the existing revision result foundation, and corrects the wrong conclusion related in the article named ＂several open questions and some inequalities about the inferior positively definite matrix＂, simultaneously points out the mistake in article named ＂further research about the generalized positively definite matrix＇s＂ by counter-example., and the complete revision result is given.

关 键 词：亚正定矩阵 正定矩阵 对称矩阵 特征值 不等式 

分 类 号：O151.21[理学—数学]